P(x)= 1/2x^2+3x-4x^3+6x^4-1 is it polynomial? If so write in standard form, and what degree, type and leading coefficient is it?

Answer:

5 units

Step-by-step explanation:

The area of a sector is \(A=\frac{r^2\theta}{2}\) where \(r\) is the radius and \(\theta\) is the angle formed:

\(A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r\)

Therefore, the radius of the sector is 5 units

Answer:

A. 7

Step-by-step explanation:

3m + 21 = 6m

Move variables to one side to get:

3m + 21 = 6m

-3m         -3m

21 = 3m

Then isolate variable by dividing by 3

21/3 = 3m/3

m = 7

Choice A is the correct answer

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:

B) It represents the product of two irrational numbers and is equivalent to an irrational number.

Step-by-step explanation:

Hi there!

The square root of 3 and the square root of 2 are both irrational numbers, because they do not simplify to a rational number.

Now, let's multiply them together:

\(\sqrt{3} *\sqrt{2}\\=\sqrt{3*2}\\=\sqrt{6}\)

Again, 6 is not a perfect square, so they multiply to another irrational number.

I hope this helps!

Answer:

picture ?

Step-by-step explanation:

Answer:

7x + 10

Step-by-step explanation:

10 + 8x - 1x ​

Add or subtract like terms.

10 + (8 - 1)x

10 + (7)x

Rearrange.

7x + 10

Answer:

7x+10

Step-by-step explanation:

start by rewriting the problem

10+8x-1x

now, you can subtract 8x from 1x, because they are like terms

10+7x

arrange the terms

7x+10

now, that is your final answer!

when you divide 6/13 by 6/12 you should be getting 12/13

step by step :

take the reciprocal ( flipping the numerator and denominator ) of the second fraction and changing the division sign to multiplication :

6/13 × 12/6

the next step is to multiply the numerator and denominator

6 × 12 / 13 × 6 = 72/78

the fraction can be reduced by dividing numerator and denominator by greatest common factor of 72 and 78

here the greatest common factor will be 6

72 ÷ 6 / 78 ÷ 6

you should get 12 / 13 as an answer

so that's it :)

hope this helped !

Let the number be x

ATQ

\(\\ \sf\longmapsto 3x+2=18\)

\(\\ \sf\longmapsto 3x=18-2\)

\(\\ \sf\longmapsto 3x=16\)

\(\\ \sf\longmapsto x=\dfrac{16}{3}\)

\(\\ \sf\longmapsto x=5.3\)

\(\\ \sf\longmapsto x\approx 5\)

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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The letter used to represent Pearson's product-moment correlation coefficient is "r".

This coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no linear correlation.

To calculate Pearson's correlation coefficient, we first standardize the variables by subtracting their means and dividing by their standard deviations. Then, we calculate the product of the standardized values for each pair of corresponding data points. The sum of these products is divided by the product of the standard deviations of the two variables. The resulting value is the correlation coefficient "r".

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We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Function:

To know which graph represents our function, we can see that all the graphs have different y and x-intercepts. Meaning that we can calculate these parameters and see which graph is.

• Calculating y-intercept: x = 0

The y-intercept happens at (0, -3).

Based on this, we can see that Graph B is not an option. However, Graph A and C are still options. To evaluate which is the correct one we have to calculate the x-intercept.

2. Calculating the x-intercept: y = 0

Then, the x-intercept is (4, 0).

Answer: Graph A

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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Answer:

see answers down below

Step-by-step explanation:

The works man family is driving at a speed of 55 miles per hour

Their cousins family drives at 75 miles and hour.  (use the miles/hours ratio like I told you in the last answer)

900 miles/75 miles traveled by their cousins each hour equals 12 hours.

If the works man family is driving at 55 miles and hour, 900 miles needed to be traveled/ 55 miles an hour equals 16.3636363636.  This is more than 12 hours, and that means that their cousins will arrive first.  Hope this helps!

∆ABC Prove: ∆ABC has at least one angle with measure 60° or less  First, we assume that this conclusion is false. In other words, we assume that the contrary statement "∆ABC has all angles with measure greater than 60°" is true. This assumption is equivalent to the following three statements: (1) m∠A > 60° and (2) m∠B > 60° and (3) m∠C > 60°. Using (1)-(3) and addition properties of inequalities, we conclude that m∠A + m∠B + m∠C > 180°. But this contradicts the Triangle Inequality Theorem which states that m∠A + m∠B + m∠C ≤ 180°. Therefore, the assumption made is false and the statement "∆ABC has at least one angle with measure 60 or less is true."

The Triangle Inequality is a fundamental geometric principle that applies to triangles. It states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Mathematically, this can be expressed as:

a + b > c

b + c > a

c + a > b

where a, b, and c are the lengths of the three sides of the triangle. The Triangle Inequality has important implications in many areas of mathematics and science, including geometry, trigonometry, and physics

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Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Step-by-step explanation:

umm....I really hope this helps u

KL = 23

so you just have to add both of the segment lengths together.

each individual equation is already given in the image, so I'll substitute it out below:

JK + KL = JL

4x+2 +4x+3 = 45

8x + 5 = 45

8x = 40

x = 5

BUT WE'RE NOT DONE. plug in 40 for the variable X:

KL = 4(5) + 3

KL = 20 + 3

KL = 23

now i'll check my answer really quickly:

23 + 4(5) + 2 = JL

23 + 20 + 2 = JL

23 + 22 =

45

therefore, KL is 23

Answer:

Explained below

Step-by-step explanation:

Hi! Do you know the similar triangle rules?

I will prove one for you and you can try the rest

ΔCBD ~ ΔABC proof:

st                              | r

1) ΔABC is right Δ    | Given

2) CD is alt to hyp   | Given

3) m∠C = 90°           | def right Δ

4) m∠CDB = 90°      | def alt

5) m∠B = m∠B         | reflexive property (more triangles share ∠B)

6) ΔCBD ~ ΔABC     | AA (since two angles are equal, the two triangles are similar)

We do not need to prove all three angles as similar since if two corresponding angles of two triangles are congruent, the third has to be equal (since the total sum of angles is 180° in a triangle)

You can translate the statement reasoning into a paragraph

I hope this helps! If not, let me know and I will try and explain further :)

The required final answer is option a) Incentre

The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".

It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.

The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.

The incentre is always within the triangle and is equidistant from all three sides of the triangle, making

it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.

Thus, required answer is "Incentre".

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Answer:

t= -3.7

Step-by-step explanation:

1. 5( t+3)= -3.5

2. 5t+15= -3.5

3. 5t= -18.5

4. t= -3.7

Answer: 1,781.3

Step-by-step explanation:

h = 7

d = 18

r = 9

V = h x π x r^2

V =7 x π x r^2 = 1781.28

Rounded = 1781.3

The IXL Study in the Sun contest offers students a chance to win an iPad or gift card by answering the most questions correctly between June 13 and August 7.

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Additionally, by completing various challenges, students can uncover virtual prizes hidden beneath squares on the IXL interface.

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Answer:

\( {x}^{2} + 6x - 27 = \)

\((x - 3)(x + 9)\)

Answer:

(x-3) (x+9)

Step-by-step explanation:

One method of factorising the polynomial is by splitting the middle term . Factorising the given polynomial

x² + 6x - 27 , here the sum is 6 and product is (-27)

= x² + 9x - 3x - 27 , the two numbers which give the sum as 6 and      product as (-27) are 9 and (-3)

= x (x + 9) - 3 (x + 9) , taking the common factors out

= (x + 9) (x - 3)

∴ the solution for x² + 6x - 27 = (x - 3) (x + 9)

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Answer:

I assume you mean "what" number is

Step-by-step explanation:

your answer would be 100 + 292

Therefore Answer = 392

Please mark my answer as the brainliest for further answers :)

Answer:

No

Step-by-step explanation:

one hundred isn't more than 292 it's less than 292.

Answer:

Step-by-step explanation:

Given,

Area of the triangle

\( = {105m}^{2} \)

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

\( = > \frac{1}{2} \times base \times height = 105\)

\( = > \frac{1}{2} \times 15 \times h = 105\)

\( = > h = \frac{105 \times 2}{15} \)

=> h = 7 × 2

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = \(105^{2}\)

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

\(A = \frac{h_{b}b}{2}\)

Put the values in the formula

\(105 = \frac{h_{b}15 }{2}\)

Use MPE or Multiplication Property of Equality

210 = 15\(h_{b}\)

Now use DPE or Division Property of Equality

\(\frac{210}{15} = \frac{15_{hb} }{15}\)

14 = \(h_{b}\)

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 \(m^{2}\)

Using linear functions, it is found that option 2 will need the fewest amount of ticket sold.

A linear function is modeled by:

y = mx + b

In which:

For each option, we have that:

For option 1, the earnings with x ticket sales is given by:

y = 9500 + 0.05x.

With y = 13000, we find the amount of tickets that have to be sold to earn $13,000, hence:

13000 = 9500 + x

x = 3,500 tickets

For option 2, the earnings with x ticket sales is given by:

y = 8000 + 2x.

Hence:

13000 = 8000 + 2x

2x = 5000

x = 2,500

x = 2,500 tickets;

For option 3, the earnings with x ticket sales is given by:

y = 4500 + 3x.

13000 = 4500 + 3x

3x = 8500

x = 8500/3

x = 2,833 tickets.

Hence option 2 will need the fewest amount of ticket sold.

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